Finding the Fourth Proportional to 6,333.12, 8,738.96 and 3,680.10

Step by Step Solution

1. Step 1: Write the proportion equation
   6,333.12 : 8,738.96 = 3,680.10 : x
2. Step 2: Convert to fraction form
   6,333.12/8,738.96 = 3,680.10/x
3. Step 3: Cross multiply
   6,333.12x = 8,738.96 × 3,680.10
4. Step 4: Simplify right side
   6,333.12x = 32,160,228.30
5. Step 5: Solve for x
   x = 32,160,228.30/6,333.12
6. Step 6: Final answer
   x = 5,078.10